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Finding the Fourth Proportional to 27,785.03, 41,646.96 and 13,724.24

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Solution

The fourth proportional to 27,785.03, 41,646.96 and 13,724.24 is: 20,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.03 : 41,646.96 = 13,724.24 : x
  2. Step 2: Convert to fraction form
    27,785.03/41,646.96 = 13,724.24/x
  3. Step 3: Cross multiply
    27,785.03x = 41,646.96 × 13,724.24
  4. Step 4: Simplify right side
    27,785.03x = 571,572,666.08
  5. Step 5: Solve for x
    x = 571,572,666.08/27,785.03
  6. Step 6: Final answer
    x = 20,571.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.